New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2022 · 30 Jun · Shift 1

67 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2022 · 30 Jun · Shift 1

2022 · 30 Jun · Shift 1

67 questions · JEE Main

Chemistry22 questions Mathematics19 questions Physics26 questions

Structure of AtomChemistry · 1 questions SolutionsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions ThermodynamicsChemistry · 2 questions P Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 4 questions Alcohols Phenols and EthersChemistry · 1 questions BiomoleculesChemistry · 1 questions Practical Organic ChemistryChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Application of DerivativesMathematics · 3 questions Inverse Trigonometric FunctionsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions EllipseMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Definite IntegrationMathematics · 1 questions ParabolaMathematics · 1 questions 3D GeometryMathematics · 1 questions ProbabilityMathematics · 1 questions Motion in A PlanePhysics · 2 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 2 questions Laws of MotionPhysics · 1 questions Center of MassPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions MagneticsPhysics · 1 questions CapacitorPhysics · 1 questions WavesPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions Alternating CurrentPhysics · 2 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Circular MotionPhysics · 1 questions Rotational MotionPhysics · 1 questions ElectrostaticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.The number of radial nodes and total number of nodes in 4p orbital respectively are :
Chemistry · Structure of Atom · MCQ
Q2.For a solution of the gases A, B, C and D in water at 298 K, the values of Henry's law constant (KH) are 30.40, 2.34, 1.56 $\times$ 10 $-$ 5 and 0.513 k bar respectively. In the given graph, the lines marked as 'p' and 's' correspond… Includes diagram
Chemistry · Solutions · MCQ
Q3.The equilibrium constant for the reversible reaction 2A(g) $⇌$ 2B(g) + C(g) is K1 $\frac{3}{2}$ A(g) $⇌$ $\frac{3}{2}$ B(g) + $\frac{3}{4}$ C(g) is K2. K1 and K2 are related as :
Chemistry · Chemical Equilibrium · MCQ
Q4.In which of the following half cells, electrochemical reaction is pH dependent?
Chemistry · Electrochemistry · MCQ
Q5.The correct order of electron gain enthalpy ( $-$ ve value) is :
Chemistry · Periodic Table and Periodicity · MCQ
Q6. $Δ$ G $^{\circ}$ vs T plot for the formation of $M g O$ , involving reaction 2 $M g$ + $O_{2}$ $\to$ 2 $M g O$ , will look like :
Chemistry · Thermodynamics · MCQ
Q7.A $⟶ 573 K$ Red phosphorus $u n d er p r ess u r e ⟶ h e a t; 803 K$ B Red phosphorus is obtained by heating "A" at 573 K, and can be…
Chemistry · P Block Elements · MCQ
Q8.Correct formula of the compound which gives a white precipitate with $B a C l_{2}$ solution, but not with $A g N O_{3}$ solution, is :
Chemistry · Coordination Compounds · MCQ
Q9.Consider the given chemical reaction Identify the product P. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Choose the reaction which is not possible:
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.Which among the following will be the major product of the given reaction? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.Consider the above reaction sequence. Identify the component A and component B : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.The sugar produced after complete hydrolysis of DNA is
Chemistry · Biomolecules · MCQ
Q14.The reagent neutral ferric chloride is used to detect the presence of
Chemistry · Practical Organic Chemistry · MCQ
Q15.Blister copper is produced by reaction of copper oxide with copper sulphide. 2 $C u_{2} O$ + $C u_{2} S$ $\to$ 6 $C u$ + $S O_{2}$ When 2.86 $\times$ 103 g of $C u_{2} O$ and 4.77 $\times$ 103 g of $C u_{2} S$ are used for reaction, the mass of copper produced…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.Amongst the following, the number of molecule/(s) having net resultant dipole moment is . $N F_{3}$ , $B F_{3}$ , $B e F_{2}$ , $C H C l_{3}$ , $H_{2} S$ , $S i F_{4}$ , $C C l_{4}$ , $P F_{5}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.1.0 mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the figure. The magnitude of the work done for the expansion of gas from state 1 to state 2 at 300 K is J. (Nearest integer) (Given… Includes diagram
Chemistry · Thermodynamics · Numerical
Q18.For the reaction P $\to$ B, the values of frequency factor A and activation energy EA are 4 $\times$ 1013 s $-$ 1 and 8.3 kJ mol $-$ 1 respectively. If the reaction is of first order, the temperature at which the rate constant is 2…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.In the following brown complex, the oxidation state of iron is +. $[F e (H_{2} O)_{6}]^{2 +} + N O \to Brown complex [F e (H_{2} O)_{5} (N O)]^{2 +} + H_{2} O$
Chemistry · Coordination Compounds · Numerical
Q20.Spin only magnetic moment ( $μ$ s) of $K_{3} [F e (C N)_{6}]$ is B.M. (Nearest integer)
Chemistry · Coordination Compounds · Numerical
Q21.An organic compound with 51.6% sulfur is heated in a Carius tube. The amount of this compound which will form 0.752 g of barium sulphate is $\times$ 10 $-$ 1 g. (Given molar mass of barium sulphate 233 g mol $-$ 1)…
Chemistry · Practical Organic Chemistry · Numerical
Q22.A hydrocarbon 'X' is found to have molar mass of 80. A 10.0 mg of compound 'X' on hydrogenation consumed 8.40 mL of $H_{2}$ gas (measured at STP). Ozonolysis of compound 'X' yields only formaldehyde and dialdehyde. The total number of…
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q23.Let $S_{1} = {x \in R - {1, 2} : \frac{( x + 2 ) ( x ^{2} + 3 x + 5 )}{- 2 + 3 x - x ^{2}} \geq 0}$ and $S_{2} = {x \in R : 3^{2 x} - 3^{x + 1} - 3^{x + 2} + 27 \leq 0}$ . Then, $S_{1} \cup S_{2}$ is…
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.The real part of the complex number $\frac{( 1 + 2 i ) ^{8} . ( 1 - 2 i ) ^{2}}{( 3 + 2 i ) . ( 4 - 6 i )}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q25.Let S be the set of all integral values of $α$ for which the sum of squares of two real roots of the quadratic equation $3 x^{2} + (α - 6) x + (α + 3) = 0$ is minimum. Then S :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q26.Let $A = [1 α - 2 2 α - 1]$ and $B = 2 - 1 4 α 2 - 5, α \in C$ …
Mathematics · Matrices and Determinants · MCQ
Q27.For two positive real numbers a and b such that $\frac{1}{a ^{2}} + \frac{1}{b ^{3}} = 4$ , then minimum value of the constant term in the expansion of $(a x^{\frac{1}{8}} + b x^{- \frac{1}{12}})^{10}$ is :
Mathematics · Binomial Theorem · MCQ
Q28.If xy4 attains maximum value at the point (x, y) on the line passing through the points (50 + $α$ , 0) and (0, 50 + $α$ ), $α$ > 0, then (x, y) also lies on the line :
Mathematics · Application of Derivatives · MCQ
Q29.Let $f (x) = 4 x^{3} - 11 x^{2} + 8 x - 5, x \in R$ . Then f :
Mathematics · Application of Derivatives · MCQ
Q30.Let m and M respectively be the minimum and the maximum values of $f (x) = sin^{- 1} 2 x + sin 2 x + cos^{- 1} 2 x + cos 2 x, x \in [0, \frac{π}{8}]$ . Then m + M is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q31.Let $α$ 1, $α$ 2 ( $α$ 1 2) be the values of $α$ fo the points ( $α$ , $-$ 3), (2, 0) and (1, $α$ ) to be collinear. Then the equation of the line, passing through ( $α$ 1, $α$ 2) and making an angle of $\frac{π}{3}$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q32.Let the eccentricity of the ellipse $x^{2} + a^{2} y^{2} = 25 a^{2}$ be b times the eccentricity of the hyperbola $x^{2} - a^{2} y^{2} = 5$ , where a is the minimum distance between the curves y = ex and y = logex. Then $a^{2} + \frac{1}{b ^{2}}$ …
Mathematics · Ellipse · MCQ
Q33.Let $α = tan (\frac{5 π}{16} sin (2 cos^{- 1} (\frac{1}{5})))$ and $β = cos (sin^{- 1} (\frac{4}{5}) + sec^{- 1} (\frac{5}{3}))$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q34.The number of 6-digit numbers made by using the digits 1, 2, 3, 4, 5, 6, 7, without repetition and which are multiple of 15 is .
Mathematics · Permutations and Combinations · Numerical
Q35.Suppose $x \to 0 lim \frac{F ( x )}{x ^{3}}$ exists and is equal to L, where $F (x) = a + sin \frac{x}{2} - b cos x 0 - b cos x 0 a + sin \frac{x}{2} 0 a + sin \frac{x}{2} - b cos x$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q36.If for some $α$ > 0, the area of the region ${(x, y) : ∣ x + α ∣ \leq y \leq 2 - ∣ x ∣}$ is equal to $\frac{3}{2}$ , then the area of the region ${(x, y) : 0 \leq y \leq x + 2 α, ∣ x ∣ \leq 1}$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q37.Let $f (t) = 0 \int t e^{x^{3}} (\frac{x ^{8}}{( x ^{6} + 2 x ^{3} + 2 ) ^{2}}) d x$ . If $f (1) + f^{'} (1) = α e - \frac{1}{6}$ , then the value of 150 $α$ is equal to .
Mathematics · Definite Integration · Numerical
Q38.A hostel has 100 students. On a certain day (consider it day zero) it was found that two students are infected with some virus. Assume that the rate at which the virus spreads is directly proportional to the product of the number of…
Mathematics · Application of Derivatives · Numerical
Q39.Let PQ be a focal chord of length 6.25 units of the parabola y2 = 4x. If O is the vertex of the parabola, then 10 times the area (in sq. units) of $Δ$ POQ is equal to .
Mathematics · Parabola · Numerical
Q40.Consider a triangle ABC whose vertices are A(0, $α$ , $α$ ), B( $α$ , 0, $α$ ) and C( $α$ , $α$ , 0), $α$ > 0. Let D be a point moving on the line x + z $-$ 3 = 0 = y and G be the centroid of $Δ$ ABC. If…
Mathematics · 3D Geometry · Numerical
Q41.The probability distribution of X is : For the minimum possible value of d, sixty times the mean of X is equal to . Includes table
Mathematics · Probability · Numerical
Q42.At t = 0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms $-$ 2. At t = 20 s, a ball is released from the top of the truck. The ball strikes the ground in 1 s after the release. The velocity of…
Physics · Motion in A Plane · MCQ
Q43.If n main scale divisions coincide with (n + 1) vernier scale divisions. The least count of vernier callipers, when each centimetre on the main scale is divided into five equal parts, will be :
Physics · Units and Measurements · MCQ
Q44.The radii of two planets A and B are in the ratio 2 : 3. Their densities are 3 $ρ$ and 5 $ρ$ respectively. The ratio of their acceleration due to gravity is :
Physics · Gravitation · MCQ
Q45.Two projectiles P1 and P2 thrown with speed in the ratio $3$ : $2$ , attain the same height during their motion. If P2 is thrown at an angle of 60 $^{\circ}$ with the horizontal, the angle of projection of P1 with horizontal will be :
Physics · Motion in A Plane · MCQ
Q46.An air bubble of negligible weight having radius r rises steadily through a solution of density $σ$ at speed v. The coefficient of viscosity of the solution is given by :
Physics · Properties of Matter · MCQ
Q47.A 2 kg block is pushed against a vertical wall by applying a horizontal force of 50 N. The coefficient of static friction between the block and the wall is 0.5. A force F is also applied on the block vertically upward (as shown in figure).… Includes diagram
Physics · Laws of Motion · MCQ
Q48.Two bodies A and B of masses 5 kg and 8 kg are moving such that the momentum of body B is twice that of the body A. The ratio of their kinetic energies will be :
Physics · Center of Mass · MCQ
Q49.The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. Temperature of the liquid is : (Given 0 $^{\circ}$ …
Physics · Heat and Thermodynamics · MCQ
Q50.A coil of n number of turns wound tightly in the form of a spiral with inner and outer radii r1 and r2 respectively. When a current of strength I is passed through the coil, the magnetic field at its centre will be :
Physics · Magnetics · MCQ
Q51.Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity $ε$ r (as shown in Fig. 2),… Includes diagram
Physics · Capacitor · MCQ
Q52.A sample of monoatomic gas is taken at initial pressure of 75 kPa. The volume of the gas is then compressed from 1200 cm3 to 150 cm3 adiabatically. In this process, the value of workdone on the gas will be :
Physics · Heat and Thermodynamics · MCQ
Q53.Which of the following equations correctly represents a travelling wave having wavelength $λ$ = 4.0 cm, frequency v = 100 Hz and travelling in positive x-axis direction?
Physics · Waves · MCQ
Q54.An expression for oscillating electric field in a plane electromagnetic wave is given as Ez = 300 sin(5 $π \times$ 103x $-$ 3 $π \times$ 1011t) Vm $-$ 1 Then, the value of magnetic field amplitude will be : (Given : speed of light in…
Physics · Electromagnetic Waves · MCQ
Q55.An electric cable of copper has just one wire of radius 9 mm. Its resistance is 14 $Ω$ . If this single copper wire of the cable is replaced by seven identical well insulated copper wires each of radius 3 mm connected in parallel, then…
Physics · Current Electricity · MCQ
Q56.In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new quality factor (Q2) will be : (f1 = original resonant frequency, Q1 = original quality factor)
Physics · Alternating Current · MCQ
Q57.Find the ratio of maximum intensity to the minimum intensity in the interference pattern if the widths of the two slits in Young's experiment are in the ratio of 9 : 16. (Assuming intensity of light is directly proportional to the width of…
Physics · Wave Optics · MCQ
Q58.A source of monochromatic light liberates 9 $\times$ 1020 photon per second with wavelength 600 nm when operated at 400 W. The number of photons emitted per second with wavelength of 800 nm by the source of monochromatic light operating at…
Physics · Dual Nature of Radiation · MCQ
Q59.A hydrogen atom in ground state absorbs 12.09 eV of energy. The orbital angular momentum of the electron is increased by :
Physics · Atoms and Nuclei · MCQ
Q60.A person starts his journey from centre 'O' of the park and comes back to the same position following path OPQO as shown in the figure. The radius of path taken by the person is 200 m and he takes 3 min 58 sec to complete his journey. The… Includes diagram
Physics · Circular Motion · Numerical
Q61.Four particles with a mass of 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m (as shown in the figure). The moment of inertia of the system, about an axis passing through the point O and perpendicular to the… Includes diagram
Physics · Rotational Motion · Numerical
Q62.The excess pressure inside a liquid drop is 500 Nm $-$ 2. If the radius of the drop is 2 mm, the surface tension of liquid is x $\times$ 10 $-$ 3 Nm $-$ 1. The value of x is .
Physics · Properties of Matter · Numerical
Q63.Eight similar drops of mercury are maintained at 12 V each. All these spherical drops combine into a single big drop. The potential energy of bigger drop will be E. Where E is the potential energy of a single…
Physics · Electrostatics · Numerical
Q64.A series LCR circuit with $R = \frac{250}{11} Ω$ and $X_{L} = \frac{70}{11} Ω$ is connected across a 220 V, 50 Hz supply. The value of capacitance needed to maximize the average power of the circuit will be …
Physics · Alternating Current · Numerical
Q65.The refractive index of an equilateral prism is $2$ . The angle of emergence under minimum deviation position of prism, in degree, is .
Physics · Geometrical Optics · Numerical
Q66.A hydrogen atom in its first excited state absorbs a photon of energy x $\times$ 10 $-$ 2 eV and excited to a higher energy state where the potential energy of electron is $-$ 1.08 eV. The value of x is .
Physics · Atoms and Nuclei · Numerical
Q67.The circuit diagram used to study the characteristic curve of a zener diode is connected to variable power supply (0 $-$ 15 V) as shown in figure. A zener diode with maximum potential Vz = 10 V and maximum power dissipation of 0.4 W is… Includes diagram
Physics · Electronic Devices · Numerical